Class 9 Exam > Class 9 Videos > Advance Learner Course: Mathematics (Maths) Class 9 > Explanation: Pair of Linear Equations in Two Variables
Explanation: Pair of Linear Equations in Two Variables Video Lecture | Advance Learner Course: Mathematics (Maths) Class 9
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FAQs on Explanation: Pair of Linear Equations in Two Variables Video Lecture - Advance Learner Course: Mathematics (Maths) Class 9
| 1. What are linear equations in two variables? |  |
Ans. Linear equations in two variables are equations that involve two variables (usually denoted as x and y) and have a degree of one. They can be expressed in the form ax + by = c, where a, b, and c are constants.
| 2. How many solutions can a pair of linear equations in two variables have? | |
Ans. A pair of linear equations in two variables can have three types of solutions: a unique solution, no solution, or infinitely many solutions. The type of solution depends on the relationship between the two equations.
| 3. How can I solve a pair of linear equations in two variables? | |
Ans. There are several methods to solve a pair of linear equations in two variables, such as the substitution method, the elimination method, and the graphical method. These methods involve manipulating the equations to eliminate one variable and find the values of the remaining variables.
| 4. What is the significance of solving linear equations in two variables? | |
Ans. Solving linear equations in two variables is essential in various fields, including mathematics, physics, engineering, and economics. It allows us to find the values of variables that satisfy multiple equations simultaneously, providing solutions to real-world problems and helping in making informed decisions.
| 5. Can a pair of linear equations in two variables be inconsistent? | |
Ans. Yes, a pair of linear equations in two variables can be inconsistent, meaning they have no common solution. In this case, the lines represented by the equations are parallel and do not intersect. The inconsistent system implies that the equations are contradictory, and no values of the variables satisfy both equations simultaneously.
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Dec 24, 2024 Last updated |
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